EquationTrekker`

PoincareSection

is a setting for the option TrekGenerator that specifies that the Poincaré section for differential equations is used to generate treks.

更多信息和选项

To use PoincareSection, you first need to load the Equation Trekker Package using Needs["EquationTrekker`"].
With TrekGenerator->{PoincareSection,method->value,…} possible method options are:

"SectionCondition"	None	when section variables will be shown
"SectionVariables"	None	variables to be plotted
"FilterFunction"	None	function applied to variables before plotting

Options specific to NDSolve may also be included as method options.
The method options "SectionCondition" and "SectionVariables" are required to have a value other than None.
The method option "SectionCondition"->cond plots section variables whenever cond==0.
The setting for the method option "SectionVariables" should be a list of two of the dependent variables. If the differential equations are second order or higher, then derivatives of the dependent variables may also be chosen.
With "FilterFunction"->f, the argument supplied to f is a list of the coordinates to be plotted.

This shows an example of treks generated by Duffing's equation:

Generating a Poincaré section for the same equation:

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